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# Scan_Doc0040 - 34 Chapter One Chemical Foundations 46...

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34 Chapter One Chemical Foundations 46. Apothecaries (druggists) use the following set of measures in the English system: 20 grains ap = 1 scruple (exact) 3 scruples = 1 dram ap (exact) 8 dram ap = 1oz ap (exact) 1 dram ap = 3.888 g a. Is an apothecary grain the same as a troy grain? (See Exer- cise 45.) b. 1 oz ap = oz troy. c. An aspirin tablet contains 5.00 X 10 2 mg of active ingredi- ent. What mass in grains ap of active ingredient does it con- tain? What mass in scruples? d. What is the mass of 1 scruple in grams? 47. Science fiction often uses nautical analogies to describe space travel. If the starship u.S.S. Enterprise is traveling at warp factor 1.71, what is its speed in knots and in miles per hour? (Warp 1.71 = 5.00 times the speed of light; speed of light = 3.00 X 10 8 m/s; 1 knot = 2000 yd/h, exactly.) 48. The world record for the hundred meter dash is 9.74 s. What is the corresponding average speed in units of mis, km/h, ft/s, and miIh? At this speed, how long would it take to run 1.00 X 10 2 yards? 49. Would a car traveling at a constant speed of 65 krnIh violate a 40. miIh speed limit? 50. You pass a road sign saying "New York 112 km." If you drive at a constant speed of 65 mi/h, how long should it take you to reach New York? If your car gets 28 miles to the gallon, how many liters of gasoline are necessary to travel 112 km?
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